Beman's large collection. To one who was willing to undertake the task, a text in a foreign language was assigned.
New courses offered in the years that followed included Fourier Series and Spherical Harmonics, Theory of Substitutions, Partial Differential Equations, Theory of Numbers, Theory of Invariants, and Theory of the Potential.
The present statistical and actuarial work in the department began in 1902-3, when Glover offered three courses in the theory of annuities (see p. 654) .
Before the close of the third period, January, 1922, there were other developments in the curriculum. Professor Ziwet, Professor Field, and others worked out a series of courses in applied mathematics — Vector Analysis, Hydrodynamics, and Theory of Elasticity. Professor Ford offered a course in infinite series and products, and another in topics in the theory of divergent series. The teachers' courses were elaborated, and separate courses were introduced in the history of mathematics, graphical methods, and celestial mechanics.
The physical equipment of the department was greatly increased during Professor Beman's administration. During his first year he addressed a letter to the Board of Regents, asking for an appropriation of $500 to buy models and supporting his request by reference to Professor Olney's generosity in turning back into the general fund the appropriation of an equal amount for the purchase of Crelle's Journal. This request was granted, and the purchases made at that time constitute most of the collection of models now in the possession of the department.
The fourth period, since 1922. — Professor Beman began the year 1921-22 in apparently good health, but an attack of arthritis compelled him to turn over his classes to others and was the cause of his death on January 18, 1922. He had completed fifty years of active service as a member of the faculty. Professor Markley was appointed Chairman of the Department of Mathematics in 1922. He directed its affairs until 1926, when, because of failing health, he resigned the chairmanship, but continued teaching for another year before his retirement.
Several important changes in the staff occurred during the chairmanship of Professor Markley. In 1922-23 two instructors came, Ruel V. Churchill (Chicago '22, Ph.D. Michigan '29) and Cecil Calvert Craig (Indiana '20, Ph.D. Michigan '27). Bradshaw and Hildebrandt became professors in 1923-24, and Assistant Professor Robbins left to take a position with the New York State Insurance Department. James Alexander Shohat (Magister of Pure Mathematics, Petrograd '22) came as Instructor in 1924-25. After a long and painful illness, Professor Hall died on January 10, 1925 (see Part II: Office of the Registrar) . Assistant Professor Nelson resigned in 1925 to accept a professorship in the College of the City of Detroit. Ben Dushnik ('24, Ph.D. '31) and Walter Otto Menge ('25, Ph.D. '31) began as instructors in 1925-26, the year in which Alexander Ziwet was made Professor Emeritus, Love was promoted to a professorship, and Field was appointed Chairman of the Department of Mathematics in the College of Engineering.
In the spring of 1926 James W. Glover became Chairman, and immediately set himself to the task of revivifying the department. No new major appointment had been made since the death of Professor Beman, and at first the University attempted to secure a man of national reputation as professor. The attempt having proven unsuccessful, it was decided to add several promising younger men to the staff. In the year 1926-27 three assistant professors were
